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Finding the Third Proportional to 4,232.25 and 7,834.50

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Solution

The third proportional to 4,232.25 and 7,834.50 is: 14,502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.25 : 7,834.50 = 7,834.50 : x
  2. Step 2: Convert to fraction form
    4,232.25/7,834.50 = 7,834.50/x
  3. Step 3: Cross multiply
    4,232.25x = 7,834.50 × 7,834.50
  4. Step 4: Simplify right side
    4,232.25x = 61,379,390.25
  5. Step 5: Solve for x
    x = 61,379,390.25/4,232.25
  6. Step 6: Final answer
    x = 14,502.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.